Year: 2021
Type: article
Abstract: We study a density version of Waring’s problem. We prove that a positive density subset of $k$th powers forms an asymptotic additive basis of order $O(k^2)$ provided that the relative lower density of the set is greater than $(1 - \mathcal {Z}_k^{-1}/2)^{
Source: Acta Arithmetica
DOI: 10.4064/aa200601-1-2
Author: Juho Salmensuu
Institution: University of Turku
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W3011980402